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Finding the Fourth Proportional to 422,471, 583,009.98 and 231,491.64

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Solution

The fourth proportional to 422,471, 583,009.98 and 231,491.64 is: 319,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,471 : 583,009.98 = 231,491.64 : x
  2. Step 2: Convert to fraction form
    422,471/583,009.98 = 231,491.64/x
  3. Step 3: Cross multiply
    422,471x = 583,009.98 × 231,491.64
  4. Step 4: Simplify right side
    422,471x = 134,961,936,406.57
  5. Step 5: Solve for x
    x = 134,961,936,406.57/422,471
  6. Step 6: Final answer
    x = 319,458.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.